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Finding the Third Proportional to 174,436 and 255,422

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Solution

The third proportional to 174,436 and 255,422 is: 374,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,436 : 255,422 = 255,422 : x
  2. Step 2: Convert to fraction form
    174,436/255,422 = 255,422/x
  3. Step 3: Cross multiply
    174,436x = 255,422 × 255,422
  4. Step 4: Simplify right side
    174,436x = 65,240,398,084
  5. Step 5: Solve for x
    x = 65,240,398,084/174,436
  6. Step 6: Final answer
    x = 374,007.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.